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Finding the Third Proportional to 442,818.14 and 704,954.39

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Solution

The third proportional to 442,818.14 and 704,954.39 is: 1,122,268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,818.14 : 704,954.39 = 704,954.39 : x
  2. Step 2: Convert to fraction form
    442,818.14/704,954.39 = 704,954.39/x
  3. Step 3: Cross multiply
    442,818.14x = 704,954.39 × 704,954.39
  4. Step 4: Simplify right side
    442,818.14x = 496,960,692,861.47
  5. Step 5: Solve for x
    x = 496,960,692,861.47/442,818.14
  6. Step 6: Final answer
    x = 1,122,268.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.